It is established that the multivalued quasi variational inequalities in uniformly smooth Banach spaces are equivalent to the fixed-point problem. We use this equivalence to suggest and analyze some iterative algorithms for quasi variational inequalities with noncompact sets in Banach spaces. Our results are new and represent a significant improvement of the previously known results.;
Publié le : 2002-02-02
Classification:
Convergence analysis,
Variational inequalities,
Banach spaces,
Iterative algorithms,
Convergence analysis.,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00778168,
author = {Moudafi, Abdellatif and Noor, Muhammad Aslam and Xu, Ben-Long},
title = {Multivalued Quasi Variational Inequalities in Banach Spaces},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00778168}
}
Moudafi, Abdellatif; Noor, Muhammad Aslam; Xu, Ben-Long. Multivalued Quasi Variational Inequalities in Banach Spaces. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00778168/